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Finding the Fourth Proportional to 6,504.78, 9,701.54 and 5,524

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Solution

The fourth proportional to 6,504.78, 9,701.54 and 5,524 is: 8,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.78 : 9,701.54 = 5,524 : x
  2. Step 2: Convert to fraction form
    6,504.78/9,701.54 = 5,524/x
  3. Step 3: Cross multiply
    6,504.78x = 9,701.54 × 5,524
  4. Step 4: Simplify right side
    6,504.78x = 53,591,306.96
  5. Step 5: Solve for x
    x = 53,591,306.96/6,504.78
  6. Step 6: Final answer
    x = 8,238.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.